TE Nov 6 values of trig functions

Front

What is the value of \( \tan\left(-\frac{\pi}{6}\right) \)?

Back

The value is \( -\frac{\sqrt{3}}{3} \).

Front

What is the value of \( \csc(\pi) \)?

Back

The value is undefined.

Front

If \( \cos(\theta) = -\frac{2}{3} \) and \( \sin(\theta) > 0 \), what is \( \cot(\theta) \)?

Back

The value is \( \frac{-2\sqrt{5}}{5} \).

Front

What is the sine ratio in a right triangle if \( \sin(33) = \frac{x}{14} \)?

Back

The sine ratio is \( \sin(33) = \frac{x}{14} \).

Front

What is the value of \( \sec(\theta) \) if it is given as \( \frac{17}{15} \)?

Back

The value is \( \frac{17}{15} \).

Front

Define the tangent function in terms of sine and cosine.

Back

The tangent function is defined as \( \tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)} \).

Front

What is the relationship between sine and cosecant?

Back

The cosecant function is the reciprocal of the sine function: \( \csc(\theta) = \frac{1}{\sin(\theta)} \).

Front

What is the range of the sine function?

Back

The range of the sine function is \([-1, 1]\).

Front

What is the Pythagorean identity involving sine and cosine?

Back

The Pythagorean identity is \( \sin^2(\theta) + \cos^2(\theta) = 1 \).

Front

How do you find the cotangent of an angle?

Back

The cotangent of an angle is defined as \( \cot(\theta) = \frac{\cos(\theta)}{\sin(\theta)} \).